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Finding the Fourth Proportional to 370.50, 555.96 and 165.05

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Solution

The fourth proportional to 370.50, 555.96 and 165.05 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.50 : 555.96 = 165.05 : x
  2. Step 2: Convert to fraction form
    370.50/555.96 = 165.05/x
  3. Step 3: Cross multiply
    370.50x = 555.96 × 165.05
  4. Step 4: Simplify right side
    370.50x = 91,758.42
  5. Step 5: Solve for x
    x = 91,758.42/370.50
  6. Step 6: Final answer
    x = 247.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.